Answer
$\displaystyle \lim_{x\rightarrow 2}f(x)=1$
Work Step by Step
Evaluating the function for some x's,
letting x approach the value 2 from either side, we build a table
We observe that f(x) approaches the value L=1,
when x approaches the value 2 from the left AND from the right.
Therefore, it seems that a limit exists,
$\displaystyle \lim_{x\rightarrow 2}f(x)=1$
